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Finding the Fourth Proportional to 485,571,746.80, 728,357,620.20 and 434,553,410.80

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Solution

The fourth proportional to 485,571,746.80, 728,357,620.20 and 434,553,410.80 is: 651,830,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,571,746.80 : 728,357,620.20 = 434,553,410.80 : x
  2. Step 2: Convert to fraction form
    485,571,746.80/728,357,620.20 = 434,553,410.80/x
  3. Step 3: Cross multiply
    485,571,746.80x = 728,357,620.20 × 434,553,410.80
  4. Step 4: Simplify right side
    485,571,746.80x = 316,510,288,140,081,024
  5. Step 5: Solve for x
    x = 316,510,288,140,081,024/485,571,746.80
  6. Step 6: Final answer
    x = 651,830,116.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.